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11011210100022 = 2311896917333701
BaseRepresentation
bin1010000000111011111101…
…0001000011110100110110
31102222122212011102202121010
42200032333101003310312
52420401424241200042
635230251410533050
72214351023360556
oct240167721036466
942878764382533
1011011210100022
113565912048a90
12129a067b97186
1361b477a30c32
142a0d342d7166
151416608ea59c
hexa03bf443d36

11011210100022 has 128 divisors (see below), whose sum is σ = 24369328949760. Its totient is φ = 3289080960000.

The previous prime is 11011210099973. The next prime is 11011210100069. The reversal of 11011210100022 is 22000101211011.

11011210100022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11011210099980 and 11011210100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2975196772 + ... + 2975200472.

It is an arithmetic number, because the mean of its divisors is an integer number (190385382420).

Almost surely, 211011210100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011210100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184664474880).

11011210100022 is an abundant number, since it is smaller than the sum of its proper divisors (13358118849738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11011210100022 is a wasteful number, since it uses less digits than its factorization.

11011210100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11011210100022 its reverse (22000101211011), we get a palindrome (33011311311033).

The spelling of 11011210100022 in words is "eleven trillion, eleven billion, two hundred ten million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 534 691 733 979 1382 1466 1958 2073 2199 2937 3701 4146 4398 5874 7402 7601 8063 11103 15202 16126 22206 22803 24189 40711 45606 48378 61499 65237 81422 122133 122998 130474 184497 195711 244266 329389 368994 391422 506503 658778 676489 717607 988167 1013006 1352978 1435214 1519509 1976334 2029467 2152821 2557391 2712833 3039018 3623279 4058934 4305642 5114782 5425666 5571533 7246558 7672173 8138499 10869837 11143066 15344346 16276998 16714599 21739674 28131301 29841163 33429198 45078767 56262602 59682326 84393903 89523489 90157534 135236301 168787806 179046978 227607799 241442137 270472602 455215598 482884274 495866437 682823397 724326411 991732874 1365646794 1448652822 1487599311 1874567603 2503685789 2655863507 2975198622 3749135206 5007371578 5311727014 5623702809 7511057367 7967590521 11247405618 15022114734 15935181042 20620243633 41240487266 61860730899 123721461798 166836516667 333673033334 500509550001 1001019100002 1835201683337 3670403366674 5505605050011 11011210100022